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Finding the Fourth Proportional to 288.66, 433.19 and 106.20

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Solution

The fourth proportional to 288.66, 433.19 and 106.20 is: 159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.66 : 433.19 = 106.20 : x
  2. Step 2: Convert to fraction form
    288.66/433.19 = 106.20/x
  3. Step 3: Cross multiply
    288.66x = 433.19 × 106.20
  4. Step 4: Simplify right side
    288.66x = 46,004.25
  5. Step 5: Solve for x
    x = 46,004.25/288.66
  6. Step 6: Final answer
    x = 159.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.